GATE ME topic:fluid-mechanics PYQs & Answers — Page 8

Questions 71–76 of 76. Imported answers require independent review unless marked reviewed.

The velocity profile inside the boundary layer for flow over a flat plate is given as

, where

is the free stream velocity and

is the local boundary layer thickness. If

is the local displacement thickness, the value of

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Consider steady flow of an incompressible fluid through two long and straight pipes of diameters

and

arranged in series. Both pipes are of equal length and the flow is turbulent in both pipes. The friction factor for turbulent flow through pipes is of the form,

, where

and

are known positive constants and Re is the Reynolds number. Neglecting minor losses, the ratio of the frictional pressure drop in pipe 1 to that in pipe 2,

, is given by

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For a steady flow, the velocity field is

. The magnitude of the acceleration of a particle at (1, −1) is

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The arrangement shown in the figure measures the velocity

of a gas of density 1 kg/m

flowing through a pipe. The acceleration due to gravity is 9.81 m/s

. If the manometric fluid is water (density 1000 kg/m

) and the velocity

is 20 m/s, the differential head

(in mm) between the two arms of the manometer is ____________.

Diagram for Mechanical Engineering question 39

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A 60 mm-diameter water jet strikes a plate containing a hole of 40 mm diameter as shown in the figure. Part of the jet passes through the hole horizontally, and the remaining is deflected vertically. The density of water is 1000 kg/m

. If velocities are as indicated in the figure, the magnitude of horizontal force (in N) required to hold the plate is ____________.

Diagram for Mechanical Engineering question 40

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For the laminar flow of water over a sphere, the drag coefficient

is defined as

, where

is the drag force,

is the fluid density,

is the fluid velocity and

is the diameter of the sphere. The density of water is 1000 kg/m

. When the diameter of the sphere is 100 mm and the fluid velocity is 2 m/s, the drag coefficient is 0.5. If water now flows over another sphere of diameter 200 mm under dynamically similar conditions, the drag force (in N) on this sphere is ____________.

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GATE ME topic:fluid-mechanics PYQs

Question 30

Question 31

Question 32

Question 39

Question 40

Question 41